Answer and Step-by-step explanation:
Given
ax + by = c
qx + ry = s
(a) the equation has no solutions if a/q = b/r ≠ c/s, when this happens, we say the system of equations has no solution. For example
x + y = 3
x + y = 5
Subtracting first equation from the second we have:
0 = 2 which is impossible.
(b) the equations have infinite solutions if a/q = b/r = c/s, for example
x + y = 2
x + y = 2
Subtracting the first equation from the second we have
0 = 0, since this is always true, then it has infinite solutions.
(c) the equations have unique solutions if a/q ≠ b/r, for example
x + y = 2
x – y = 1
Adding the first and second equation we have
2x = 3, we can get x from here and definitely y, so we have just one solution.
Answer:
Step-by-step explanation:
incomplete. no results listed below
Should be 11 if i did it correctly <span />
Answer:
5 is the interquartile range
Step-by-step explanation:
•25th Percentile: 7
•50th Percentile: 8.5
•75th Percentile: 12
•Interquartile Range: 5
<span>1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work
slope = (10 - 2)/(9 + 3)
slope = 8/12
slope = 2/3
</span><span>2. Write the equation of the line in point-slope form.
Show your work
</span>
point-slope form. <span>
y - y1 = m(x - x1)
so equation
y - 2 = 2/3(x + 3)
</span><span>3. Write the equation of the line in slope-intercept form.
Show your work.</span><span>
</span>slope = 2/3, passing thru <span> (-3, 2)
</span><span>
y = mx + b
b = y - mx
b = 2 - (2/3)(-3)
b = 2 + 2
b = 4
equation
y = 2/3(x) + 4
</span>
